evaluate $\frac{10n - 13}{9mn - 15}$ when $m = 0$ and $n = -1$. enter an integer or a fraction.

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Evaluating Rational Expressions", "Fraction Arithmetic" ], "new_concepts": [], "current_concepts": [ "Evaluating Rational Expressions", "Fraction Arithmetic" ] } ## Substitute the given values into the expression Using the *Evaluating Rational Expressions* knowledge point $$ \begin{aligned} &\text{Substitute } m = 0 \text{ and } n = -1 \text{ into } \frac{10n - 13}{9mn - 15}:\ &\frac{10(-1) - 13}{9(0)(-1) - 15} \end{aligned} $$ ## Simplify the numerator and denominator Using the *Fraction Arithmetic* knowledge point $$ \begin{aligned} &\text{Numerator: } 10(-1) - 13 = -10 - 13 = -23\ &\text{Denominator: } 9(0)(-1) - 15 = 0 - 15 = -15 \end{aligned} $$ ## Simplify the resulting fraction Using the *Fraction Arithmetic* knowledge point $$ \frac{-23}{-15} = \frac{23}{15} $$ Evaluate $\frac{10n - 13}{9mn - 15}$ when $m = 0$ and $n = -1$. Enter an integer or a fraction. $\frac{23}{15}$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Evaluating Rational Expressions" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Substitute the given values into the expression

Simplify the numerator and denominator

Simplify the resulting fraction

Answer: